A126579 a(n) = numerator of r_n, where r_0 =0, r_1 =1, r_{n+1} = the continued fraction (of rational terms) [r_0,r_1,r_2,r_3,...,r_n].

0, 1, 1, 1, 3, 17, 625, 830449, 1441502031601, 4448641235388669217551601, 41528676925856911327331422342109607917578376233201, 3672388606376400029616401054202436402044127055973259683865721559797182998857705011207512381679196401

Offset

0,5

Links

Table of n, a(n) for n=0..11.

Example

a(5) is the numerator of r_5 = r_0 +1/(r_1 +1/(r_2 +1/(r_3
+ 1/r_4))) =
0 + 1/(1 +1/(1 +1/(1/2 +1/(3/4)))) = 17/28.

Mathematica

f[l_List] := Append[l, FromContinuedFraction[l]]; Numerator@Nest[f, {0, 1}, 10] (* Ray Chandler, Dec 29 2006 *)

Crossrefs

Cf. A064845, A064846, A126580.

Sequence in context: A061119 A094133 A049985 * A309060 A270816 A217957

Adjacent sequences: A126576 A126577 A126578 * A126580 A126581 A126582

Keyword

easy,frac,nonn

Author

Leroy Quet, Dec 28 2006

Extensions

Extended by Ray Chandler, Dec 29 2006

Status

approved